Regular Article - Theoretical Physics
Beyond rainbow-ladder in bound state equations
Institute for Theoretical Physics, Justus-Liebig-University Gießen, Gießen, Germany
Revised: 10 April 2014
Accepted: 15 April 2014
Published online: 16 May 2014
In this work we devise a new method to study quark-anti-quark interactions beyond simple ladder-exchange that yield massless pions in the chiral limit. The method is based on the requirement to have a representation of the quark-gluon vertex that is explicitly given in terms of quark dressings functions. We outline a general procedure to generate the Bethe-Salpeter kernel for a given vertex representation. Our method allows not only the identification of the mesons' masses but also the extraction of their Bethe-Salpeter wave functions exposing their internal structure. We exemplify our method with vertex models that are of phenomenological interest.
© SIF, Springer-Verlag Berlin Heidelberg, 2014